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At a temperature of 27.0°what is the speed of longitudinal
Chapter 16, Problem 8E(choose chapter or problem)
At a temperature of \(27.0^{\circ} \mathrm{C}\), what is the speed of longitudinal waves in (a) hydrogen (molar mass \(2.02 \mathrm{~g} / \mathrm{mol}\) ); (b) helium (molar mass \(4.00 \mathrm{~g} / \mathrm{mol}\) ); (c) argon (molar mass \(39.9 \mathrm{~g} / \mathrm{mol}\) )? See Table 19.1 for values of \(\gamma\). (d) Compare your answers for parts (a), (b), and (c) with the speed in air at the same temperature.
Questions & Answers
QUESTION:
At a temperature of \(27.0^{\circ} \mathrm{C}\), what is the speed of longitudinal waves in (a) hydrogen (molar mass \(2.02 \mathrm{~g} / \mathrm{mol}\) ); (b) helium (molar mass \(4.00 \mathrm{~g} / \mathrm{mol}\) ); (c) argon (molar mass \(39.9 \mathrm{~g} / \mathrm{mol}\) )? See Table 19.1 for values of \(\gamma\). (d) Compare your answers for parts (a), (b), and (c) with the speed in air at the same temperature.
ANSWER:Step 1 of 3
Given temperature, \(T=27^{\circ} \mathrm{C}\)
\(T=300 \mathrm{~K}\)
Speed of a longitudinal wave in a gas is given by;
\(v_{H 2}=\sqrt{\frac{Y R T}{M}} \ldots(1)\), here \(\gamma=\) ratio of specific heats, \(R=\)universal gas constant, \(\mathrm{T}=\) temperature in absolute scale and \(M=\) Molar mass.